A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential growth formula. Round your answer to the nearest million.

P=Ae^kt

This is exponential growth

Question

A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential growth formula. Round your answer to the nearest million. 

P=Ae^kt

This is exponential growth

campbell_st · Answer

well you need to substitute the initial population and the model becomes 

$$P = 147e^{kt}$$

you are told that 7 years later the population increases to 153, this will help you find the growwth constant k. 

$$153 = 147e^{7k}$$

now solve for k. 

lastly, to find the population estimate for 2017, use the k value and t = 16 

hope it helps

anonymous · Answer

Oh thank you so much!